Many advanced research areas including defense, weather forecasting, signal processing, image and pattern recognition use advanced parallel processing systems to perform extensive data processing. However, since the complexity of the above applications are constantly on the rise, the intensity of simulation, modeling and data processing would introduce additional and significantly increasing load on existing parallel processing systems which results in speed being a determining factor. To this end, we observe that many researchers introduce new architectures to satisfy the market expectations which includes improvements on speed, reliability, fault tolerance, flexibility, compatibility, availability, cost and size of the existing systems. With this aim in mind, two new architectures are proposed, their hardware designs are described and their costs are compared. These proposed implementations could justify the suitability of the new architectures for some applications. Mathematical modeling and simulation results are presented graphically which highlight the merits and demerits of each topology